Consider a 7 question multiple choice test with 5 possible answers for each question. Only one of the possibilities is correct. Assume that the student guesses without any knowledge of the questions or the answers.

Calculate the probability that the student guesses the correct answer to exactly four questions, at most four questions, and at least four questions using STATDISK

a. P(x) P(x or fewer) 4 0.1167984 0.9510727 P(x or greater) 0.1657257
b. X P(x) P(x or fewer) 4 0.0576782 0.9871216 P(x or greater) 0.0705566
c. P(x) P(x or fewer) P(x or gregter) 4 0.0660603 0.9894186 0.0856417
d. P(x) P(x or fewer). P(x or greater) 4 0.0057244 0.9994855 0.0062389
e. x P(x) 4 0.015778 P(x or fewer) P(x or greater) 0.9975177 0.0182602
f. X P(x) P(x or fewer) 4 0.028672 0.995328 P(x or greater) 0.033344

the length of o'p' is .

step-by-step explanation:

it is given that the quadrilateral m'n'o'p' is the image of quadrilateral mnop after dilation.

the center of dilation is origin and the scale factor is 1.5.

in dilation the image and preimge are similar figures. it means the sides of image and preimage are proportional.

the scale factor is defined as

the scale factor is 1.5.

multiply both sides by op.

note: if the value of op is given, then multiply the value of op with 1.5 to get the length of side o'p'.

therefore length of o'p' is .

60

step-by-step explanation:

every triangle measures a total of 120 degrees. you have to find angle c. we know that isosceles triangles angles are equal. 60 degrees plus 60 degrees gives you 120.

soo this can be solve by using the formula:

f = p( 1 + i)^ n

where f is the future profit

p is the initial profit

i is the percent increase

n is the number of years

a . f = 30000 ( 1.05)^n

b. f = 30000 ( 1.05)^15

f = $62,368